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38 votes
38 votes
13) y = 4x - 3 -8x + 6y = 14

User Arthur Rey
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1 Answer

7 votes
7 votes

\begin{gathered} y=4x-3 \\ -8x+6y=14 \end{gathered}

Replacing y in the second equation


\begin{gathered} -8x+6(4x-3)=14_{} \\ -8x+24x-18=14 \\ 16x=14+18 \\ 16x=32 \\ x=(32)/(16) \\ x=2 \end{gathered}

Then


\begin{gathered} y=4(2)-3 \\ y=8-3 \\ y=5 \end{gathered}

Just checking our answer


-8(2)+6(5)=-16+30=14

So the correct answer is x=2 and y=5

User Shmandor
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